Relative deficiency of the Kaplan-Meier estimator with respect to a smoothed estimator

zbMath1005.62028MaRDI QIDQ1856447

Mohamed Lemdani, Elias Ould Saïd

Publication date: 10 February 2003

Published in: Mathematical Methods of Statistics (Search for Journal in Brave)

zbMATH Keywords

strong representationKaplan-Meier estimatordeficiencyoptimal bandwidthsmooth kernel-type estimate

Mathematics Subject Classification ID

Asymptotic properties of nonparametric inference (62G20) Nonparametric estimation (62G05) Estimation in survival analysis and censored data (62N02)

Related Items (7)

Asymptotic properties of conditional quantile estimator for censored dependent observations ⋮ \(\mathcal L_1\)-deficiency of the sample quantile estimator with respect to a kernel quantile estimator ⋮ \(\mathcal L_1\)-deficiency of the Kaplan-Meier estimator. ⋮ Chung-Smirnov property for smoothed distribution function estimator under random censorship ⋮ Asymptotic normality and Berry-Esseen results for conditional density estimator with censored and dependent data ⋮ A strong uniform convergence rate of kernel conditional quantile estimator under random censorship ⋮ Exact asymptotic \(\mathcal L_1\)-error of a kernel density estimator under censored data.

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